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log^(1/2)(5-x)>=x^2*log2(x-5)^2+x*log1/(2^(1/2))(5-x) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                 2                   
  ____________     2 /log(x - 5)\    x*log(1)        
\/ log(5 - x)  >= x *|----------|  + --------*(5 - x)
                     \  log(2)  /       ___          
                                      \/ 2           
$$\sqrt{\log{\left(5 - x \right)}} \geq x^{2} \left(\frac{\log{\left(x - 5 \right)}}{\log{\left(2 \right)}}\right)^{2} + \frac{x \log{\left(1 \right)}}{\sqrt{2}} \left(5 - x\right)$$
sqrt(log(5 - x)) >= x^2*(log(x - 5)/log(2))^2 + ((x*log(1))/sqrt(2))*(5 - x)